Solving Equations

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

Tags

CCSS.6.EE.A.2C

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Tags

CCSS.8.EE.C.7B

Front

What is the first step in solving the equation 7x = 3x + 24?

Back

The first step is to isolate the variable by moving all terms involving x to one side of the equation.

Front

Solve for x: 7x = 3x + 24

Back

x = 6

Front

What is the process of combining like terms in an equation?

Back

Combining like terms involves adding or subtracting coefficients of the same variable to simplify the equation.

Tags

CCSS.7.EE.A.1

Front

Solve for x: 7x - 4 = 3 + 8x

Back

x = -7

Front

What is the purpose of using inverse operations in solving equations?

Back

Inverse operations are used to undo operations applied to a variable, helping to isolate the variable and solve the equation.

Tags

CCSS.7.EE.B.4A

Front

Solve for y: 2y + 7 = 11

Back

y = 2

Tags

CCSS.7.EE.B.4A

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the opposite side.

Front

Solve for c: 2c - 12 = 9c + 2

Back

c = -2